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An approach to modelling in immunology.

Like most other fields in biology, immunology has been revolutionised by the techniques of molecular biology and the resulting explosion in available experimental data. It is argued that efforts to integrate the data to gain insight into how various subsystems in the immune system interact and function require mathematical modelling and computer simulation in close collaboration with experimentalists. This paper illustrates some of the techniques available for modelling immune systems, and highlights the issues that should be borne in mind by anyone starting down the modelling path.

Animals↗

A model for immunological correlates of protection.

Immunological assays measure characteristics of the immune system, such as antibody levels, specific to certain diseases. High assay values are often associated with protection from disease. A question of interest is how the relationship between assay values and subsequent development of disease should be quantitatively modelled. Existing approaches successfully model the relationship for high assay values, where the probability of developing disease is low. However at low assay values, the probability of developing disease is more closely associated with factors such as disease prevalence rates and an individual's chance of exposure to infection; these are less well captured by existing models. This paper presents a model that accommodates both assay values and factors independent of assay values, enabling protection from disease to be modelled over the whole range of assay values and proposing a method for predicting the efficacy of a vaccine from the assays of vaccinees and non-vaccinees.

Antibodies, Bacterial↗

Correlation of a dynamic model for immunological synapse formation with effector functions: two pathways to synapse formation.

During antigen recognition by T cells different receptors and ligands form a pattern in the intercellular junction called the immunological synapse, which might be involved in T-cell activation. Recently, a synapse assembly model has been proposed, which enables the calculation of the propensity for synapse assembly driven by membrane-constrained protein binding interactions. We bring together model predictions of mature synapse assembly with data on the dependence of T-cell responses on T-cell receptor (TCR)-MHC-peptide (pMHC) binding kinetics. Predictions of mature synapse assembly, based on TCR-pMHC binding kinetics, correlate well with observed cytokine responses by T cells bearing the relevant TCR but not with cytotoxic T lymphocyte-mediated killing. We discuss the suggested different role for the synapse in pre- and post-nuclear activation events in T cells. The view of immunological synapse assembly given here emphasizes the importance of both the on and off rates for the TCR-pMHC interaction and in this context recent data on a positive role for analogs of self-peptides in synapse assembly is considered.

Animals↗

Heterotopic hindlimb allotransplantation in rats: an alternative model for immunological research in composite-tissue allotransplantation.

A nonfunctional heterotopic hindlimb allotransplantation model is presented, and a study was performed between this model and standard orthotopic hindlimb transplantation to compare operation and ischemia time, overall morbidity, and mortality rates. In this model, the skin component of the hindlimb was stripped away to the ankle level, and the remaining part along with the vascularized epigastric skin was transplanted heterotopically to the inguinal space of the recipient. No osteotomy and intramedullary fixation were performed. Thirty heterotopic and orthotopic hindlimb transplantations were performed in two groups. Each group involved 15 transplantations from inbred, male Brown Norway (BN; RT1n) weighing 150-200 g to Lewis rats (LEW; RT1(1)) weighing 250-300 g. The animals were followed up for 2 weeks under immunosuppression with cyclosporine A (16 mg/kg/day). Mean operation times for heterotopic and orthotopic hindlimb transplantations were 60 and 105 min, with ischemia times of 35 and 85 min, respectively. No animal deaths or major complications were encountered in heterotopic hindlimb transplantation during the follow-up period. Seroma formation was observed in one animal as the only minor complication. The mortality rate for orthotopic hindlimb transplantation was 26.7%, and there were minor complications in 35%, including infection, ulceration, and loss of rigid fixation. This model circumvents the disadvantages of osteotomy and intramedullary fixation, which may increase the risk of blood loss, embolus, and infection in immunosuppressed animals. It also helps avoid tension or kinking on the anastomosis due to inadequate judgment of the osteotomy level, distortion associated with loss of rigid fixation, and weight mismatch between donor and recipient. From the immunological point of view, insult to bone marrow is avoided, and a relatively constant amount of bone marrow is introduced to be used in chimerism-based tolerance studies. We recommend this model for composite-tissue allotransplantation studies when functional recovery is not of primary importance.

Animals↗

Induction of a macrophage-suppressive lymphokine by soluble cryptococcal antigens and its association with models of immunologic tolerance.

Soluble extracts of Cryptococcus neoformans were examined for their ability to induce a macrophage-regulatory T-suppressor cell known to appear in the spleens of mice infected with cryptococci. Suppressor cells were induced by injection of extracts of encapsulated or thinly encapsulated strains of cryptococci. Dose-response analysis showed that as little as 25 micrograms of soluble capsular polysaccharide antigen could induce significant suppressor cell activity, with maximum suppression occurring at a dose of 100 micrograms. The suppressor cells appeared within 1 week of injection of antigen and persisted for at least 2 months. Suppressor cells were induced in animals given tolerogenic doses of levan, human gamma globulin, and soluble capsular polysaccharide antigen. When these same antigens were administered in immunogenic form, no suppressor cell activity was detected. Therefore, the suppressive mechanism was common to models of immunologic tolerance and was not unique to cryptococcal disease or cryptococcal capsular polysaccharide antigen. The phagocytosis-inhibiting lymphokine produced by the suppressor cell population completely inhibited the phagocytic activity of only a portion of peritoneal exudate cells. Other macrophages in the population were not totally inhibited but exhibited a reduction in the number of yeast cells engulfed.

Animals↗

Guinea pig model of immunologic asthma induced by inhalation of trimellitic anhydride.

We established a model of asthma induced by trimellitic anhydride (TMA) in guinea pigs and assessed the role of sensitization in the development of their bronchial hyperresponsiveness, and relationship between bronchial responsiveness and bronchial inflammation. Fourteen guinea pigs (sensitized group) were administered 1 mg/0.5 ml of trimellity 36-bovine serum albumin intramuscularly and 0.5 ml of complete Freund adjuvant on Day 1 as the priming dose. Booster doses were repeated on Day 15. By Day 28, all of the sensitized animals showed a high passive hemagglutination titer against trimellityl 14-ovalbumin. On Day 29, they were challenged by an inhalation of TMA (150 mg/m3) for 30 min, and respiratory resistance (Rrs) was monitored by the oscillation method. In all sensitized animals, Rrs increased immediately upon challenge and returned to baseline within 6 h. The bronchial reactivity to acetylcholine (Ach), measured 6 h after TMA challenge in the sensitized animals, increased significantly (p < 0.01) compared with that measured 24 h before challenge; that measured 24 h later was not different from that before challenge. There was also a significant difference (p < 0.01) in the number of eosinophils in the lamina propria and the epithelium 6 and 24 h after the challenge inhalation in the sensitized group. The increased airway responsiveness to Ach in the sensitized animals was correlated with an increase in the number of eosinophils in the lamina propria and the epithelium. These observations suggest that humoral antibody and eosinophils are involved in the pathogenesis of TMA-induced asthma.

Acetylcholine↗

The dynamics of T-cell fratricide: application of a robust approach to mathematical modelling in immunology.

Fratricide between CD8(+) T lymphocytes is known to occur in HTLV-I and possibly HSV-1 and HIV-1 infection. However it is not known what effect, if any, T-cell fratricide has on the course of infection. Here we present simple mathematical techniques to investigate T-cell fratricide with particular reference to HTLV-I infection. Using a general model we predict the qualitative and quantitative effect of fratricide on HTLV-I equilibrium proviral load. We also investigate the effect of fratricide on the probability of viral clearance. We show that, surprisingly, fratricide can lead either to an increase or a decrease in equilibrium proviral load. We derive the conditions necessary for fratricide to cause a decrease in load and deduce that, for the five HTLV-I-positive patients considered here, fratricide has probably caused an increase in equilibrium load. We also estimate the percentage increase in load that is attributable to fratricide and determine the parameters that should be measured in order to improve this estimate. Finally, we show that fratricide reduces the probability of viral clearance. Mathematical modelling of HTLV-I infection, as is often the case in biology, is severely hampered by a lack of experimental data. Consequently it is difficult to know what functional form a model should take. The behaviour of complex nonlinear systems is highly model-dependent. Predictions based on theoretical models are therefore sensitive to the choice of model; this is a very severe problem that undermines and limits the success of the application of mathematics to immunology. In this paper we reduce the model dependency of the results in two ways-by considering (analytically) a general model with a minimal number of assumptions and, where this is not possible, by checking (numerically) that a wide range of models yield the same results. We therefore begin to develop two practical methods for dealing with the problem of robustness in mathematical models of the immune system.

CD8-Positive T-Lymphocytes↗

Channel catfish as an unconventional model for immunological studies.

The channel catfish, Ictalurus punctatus, is an economically important species which is readily available, acclimates well to the laboratory setting, and is amenable to considerable experimental manipulation. Although the channel catfish is still a relatively circumscribed species in terms of comprehensive physiologic and/or endocrinologic studies, our current understanding of the basic immunobiology and immunochemistry of the channel catfish is significantly further advanced than for any other teleost species. In this respect the channel catfish is not only proving useful in the general areas of comparative immunology but it is also showing considerable promise as a model system for definitive studies on problems which bridge the fields of immunology and endocrinology, i.e., understanding the effects of environmental temperature and stress on the immune system.

Animals↗

A model of immunological distances in systematics.

While immunological distances among taxa have had wide use in systematics, there has been some doubt about their utility because of the observed non-metricity of such distance matrices. A model is presented here relating observed immunological distance to the actual number of antigenic site differences between taxa. This model accounts for the observed departures of these distances from the metric condition of reciprocity and triangle inequality. Based upon the model, two procedures are suggested for the transformation of immunological distances to metric distances appropriate for phylogenetic analysis. The model implies that the usual scaling adjustments applied to the immunological distance matrix are inappropriate; however, the same transformation applied instead to an initial similarity matrix will solve a scaling problem. Non-reciprocity of the distances is shown to remain a problem independent of this initial scaling problem. It is suggested that further transformation of these re-scaled distances may be obtained through an extension of the ADCLUS procedure developed in psychology. This approach suggests a general strategy for a transformation to metric distances, given a particular model of non-metricity for the data.

Epitopes↗

A natural model of immunologic tolerance. Tolerance to murine C5 is mediated by T cells, and antigen is required to maintain unresponsiveness.

A unique experimental model is described, where natural immunologic tolerance to a well-defined soluble native antigen (murine C5) is examined in congenic strains of mice that differ only by the presence or the absence of C5. A highly sensitive hemolytic assay was developed to detect nanogram amounts of C5 as well as an assay of anti-C5 inhibition of C5 hemolytic activity. The latter was more sensitive than immunodiffusion. Two reciprocal approaches were used to study the cellular basis of tolerance in irradiated hosts of either strain. In the first, lymphoid cells from either strain were transferred to irradiated B10.D2OSN hosts that were lacking C5 and so would not hinder detection of anti-C5 antibody upon challenge with murine C5. Second, lymphoid cells from either strain were transferred to irradiated B10.D2NSN hosts, whose native C5 provided the antigenic stimulus. The immune response of whole nonadherent spleen cell suspension as well as mixtures of T and B cells (separated on the basis of surface immunoglobulin) from either strain were studied. In addition, the duration of tolerance and the antigen requirement to maintain it in irradiated C5-deficient hosts repopulated with C5-sufficient spleen cells was examined. The positive control of irradiated C5-deficient hosts repopulated with syngeneic spleen cells showed a primary and secondary response to immunization. In contrast, C5-sufficient spleen cells failed to respond both in the primary and the secondary response. Because the unresponsiveness was not caused by antigen carryover and was not antigen specific, it represents central tolerance. In C5-sufficient irradiated hosts (where immunization was not required and antigen was present in natural form and physiological concentration), transfer of C5-deficient cells mediated a drop in C5 levels to 10-20% of that noted in unreconstituted controls. T and B cell mixing experiments from the two strains into deficient or sufficient hosts demonstrated that tolerance is T cell dependent and that C5-sufficient or -deficient B cells could cooperate with nontolerant C5-sufficient T cells to produce significant anti-C5 antibody or mediate a significant drop in C5 levels. In addition, the presence of antigen was necessary to maintain tolerance. In conclusion, these results show that (a) natural tolerance to C5 is an active process that is T cell dependent and requires the presence of antigen; (b) in this natural model, clonal abortion does not seem to occur; and (c) both tolerant and nontolerant B cells retain the capacity to produce autoantibody.

Animals↗

[Animal model of immunologic change detection in vivo after xenotransplantation].

OBJECTIVE: To review the current condition, test method and progress of the animal model of xeno-graft-versus-host disease(xeno-GVHD). METHODS: The literature review and comprehensive analysis methods were used in this article. RESULTS: Implanted immunologic cells, the recepient had the chance of showing host-versus-graft reaction, GVHD or microchimerism. Now, xeno-GVHD could be induced in vivo at small and large animals, it also could be supervised through many ways. CONCLUSION: Chimeric cells is very important to xeno-GVHD animal model. With this model, we can really mimic the immunologic change in vivo after xenotransplantation.

Animals↗

Reduced frequency of wheezing respiratory illness in infants with perinatal human immunodeficiency virus-type 1 infection: a model for immunologic and inflammatory mechanisms of airway obstruction?

A multivariate analysis using a logistic regression model evaluated odds ratio (OR) and 95% confidence limits (95% CL) of pediatrician-diagnosed wheezing respiratory illness in 75 infants with perinatal human immunodeficiency virus-type 1 (HIV-1) infection, 205 uninfected infants of HIV-1 infected mothers, and 1780 infants of HIV-1 uninfected mothers. Infants were prospectively followed-up for the first 2 years of life. Covariates were risk factors for wheezing respiratory illness (preterm delivery, low birth weight, maternal smoking, formula feeding, and neonatal respiratory disorders). Maternal use of illicit drugs in pregnancy, antiretroviral treatment in pregnancy, maternal HIV-1-related clinical condition at the time of delivery were also included in the models when infants of HIV-1 infected mothers were taken into account. Although the frequency of risk factors for wheezing respiratory illness was higher in infants of HIV-1 infected than in those of uninfected mothers, HIV-1 infection emerged as a protective factor [OR: 0.001 (95% CL: 0.0001-0.01); p < 0.001]. The frequency of risk factors was similarly high among infants of infected mothers, but OR was lower in HIV-1 infected than in uninfected infants of infected mothers (0.005; 95% CL: 0.0004-0.06; p < 0.001). Finally, OR was higher in uninfected infants of HIV-1 infected mothers (who evidenced a higher frequency of risk factors) than in infants of HIV-1 uninfected mothers (9.97; 95% CL: 4.87-20.40; p < 0.001). Understanding the reason why HIV-1 protects against wheezing respiratory illness could shed light on the immunologic and inflammatory mechanisms of airway obstruction.

Adult↗

Mathematical modeling of immunological reactions.

The immune system is a highly regulated, complex and integrated system which has evolved to provide the organism with substantial defenses against pathogenic organisms. Over the last several decades there has been an explosion of experimental data in this area, and new techniques in molecular and cellular biology have been crucial in deepening our understanding of immune processes. Most of these new techniques have allowed the isolation of the process or cell under study so that the results can be readily interpretable. At the present time, however, there is an emerging need to understand the system as it functions as a whole and the language of mathematics is the one best suited for this purpose. This review, written from the perspective of an experimental immunologist, describes some of the recent advances in the development of mathematical models of the immune system. Particular emphasis is placed on the rapidly growing field of modeling in HIV infection and T cell activation. Immunology as a whole will benefit from the introduction of the language of mathematics in much the same way as neuroscience has done in the last decade.

Animals↗

Data modeling for immunological and clinical data of leukemia and myasthenia patients.

In this study it was investigated whether and to what extent semantic data models and their methods for data modeling are useful for adequate representation and integration of immunological and clinical data. To that end the special research program in leukemia research and immunogenetics (SFB 120) of the University of Tübingen was taken as an example. Based on the semantic data model RM/T we propose the design of a database system, report on its realization, and discuss this approach. Using a semantic data model, the quality of data increased considerably. This means, for instance, that the integration of the molecular-biological knowledge allows a better control of the person-related results. Hence, the decisions based of these data may have greater validity and the treatment on leukemia patients can be improved. Furthermore, the elucidation of immune mechanisms concerning auto-immune diseases could be improved.

Autoimmune Diseases↗

Prolonged effects of polyriboinosinic:polyribocytidylic acid on spontaneous running wheel activity and brain interferon-alpha mRNA in rats: a model for immunologically induced fatigue.

Following 2 weeks acclimation to the running wheel in the home cages, an i.p. injection of a synthetic double-stranded RNA, polyriboinosinic:polyribocytidylic acid (poly I:C, 3 mg/kg), was performed to produce the immunologically induced fatigue in rats. The daily amounts of spontaneous running wheel activity decreased to about 40-60% of the preinjection level until day 9 with normal circadian rhythm, then gradually returned to the baseline level by day 14. Rats given a heat exposure (36 degrees C for 1 h) for the consecutive 3 days showed an increase in activity except for the first day. In the open field test, the total moving distance and the number of rearing of the poly I:C-injected rats decreased on day 1, but they were not different from the saline-injected group on day 7, suggesting that the poly I:C-induced fatigue on day 7 was not due to the peripheral problems such as muscle/joint pain, but involved the CNS. Quantitative analysis of mRNA levels using a real-time capillary reverse transcriptase-polymerase chain reaction (RT-PCR) method revealed that interferon-alpha (IFN-alpha) mRNA contents in the cortex, hippocampus, hypothalamic medial preoptic, paraventricular, and ventromedial nuclei were higher in the poly I:C group than those in the saline and heat-exposed groups on day 7, although the amount of interleukin-1 beta mRNA showed no differences. Serum adrenocorticotropic hormone and catecholamine levels were not significantly different between groups. The present results indicate that the prolonged fatigue induced by poly I:C, which is evaluated by the spontaneous running wheel activity, can be used as an animal model for the immunologically induced fatigue associated with viral infection, and suggest that brain IFN-alpha may play a role in this model.

Adrenocorticotropic Hormone↗

A novel transgenic mouse model for immunological evaluation of carcinoembryonic antigen-based DNA minigene vaccines.

A lack of relevant animal models has hampered preclinical screening and critical evaluation of the efficacy of human vaccines in vivo. Carcinoembryonic antigen-A2Kb (CEA-A2Kb) double transgenic mice provide a biologically relevant model for preclinical screening and critical evaluation of human CEA vaccine efficacy in vivo, particularly because such animals are peripherally tolerant of CEA. We established the utility of this model by demonstrating that an oral DNA minigene vaccine induces effective HLA-A2-restricted, CEA-specific antitumor CTL responses. This finding is supported by three lines of evidence: (a). an effective HLA-A2-restricted, CEA(691)-specific CTL response; (b). specific in vitro killing of CEA-A2Kb transduced MC-38 colon carcinoma cells; and (c). protective immunity induced in vaccinated mice against challenges of these tumor cells. Importantly, peripheral T cell tolerance against CEA in CEA-A2Kb double transgenic mice was broken by the CEA(691) (IMIGVLVGV) minigene vaccine. In conclusion, CEA-A2Kb double transgenic mice were demonstrated to be good candidates for in vivo testing of human CEA-based vaccines. This result suggests a potential for these vaccines in future human vaccine development. The feasibility of using nonmutated self-antigens as targets for therapeutic vaccinations was indicated, provided that such antigens are presented in an immunogenic context; that is, as a DNA minigene in a bacterial carrier system.

Animals↗

Immunodominance in TCD8+ responses to viruses: cell biology, cellular immunology, and mathematical models.

Highlights from a Fundación Juan March Interdisciplinary Meeting. CD8+ T cells (TCD8+) play a critical role in immunity to viruses. A central feature of antiviral TCD8+ responses is immunodominance: out of thousands of potential target peptides, only a handful generate measurable responses. A recent Fundación Juan March Meeting brought together scientists working on the various steps in antigen presentation and T cell biology that contribute to immunodominance, whose understanding is key to rationally developing vaccines meant to elicit effective antiviral TCD8+ responses.

Animals↗